Least Common Multiple of 35164 and 35172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35164 and 35172 the smallest integer that is 309197052 that is divisible by both numbers.

Least Common Multiple (LCM) of 35164 and 35172 is 309197052.

LCM(35164,35172) = 309197052

LCM of 35164 and 35172

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 35164 and 35172

LCM of 35164 and 35172 is 309197052

Least common multiple can be found by multiplying the highest exponent prime factors of 35164 and 35172. First we will calculate the prime factors of 35164 and 35172.

Prime Factorization of 35164


2 35164
2 17582
59 8791
149 149
1

Prime factors of 35164 are 2, 59,149. Prime factorization of 35164 in exponential form is:

35164 = 22×591×1491

Prime Factorization of 35172


2 35172
2 17586
3 8793
3 2931
977 977
1

Prime factors of 35172 are 2, 3,977. Prime factorization of 35172 in exponential form is:

35172 = 22×32×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 35164 and 35172.

LCM(35164,35172) = 22×32×591×1491×9771
LCM(35164,35172) = 309197052

Factors of 35164

List of positive integer factors of 35164 that divides 35164 without a remainder.

1, 2, 4, 59, 118, 149, 236, 298, 596, 8791, 17582, 35164

Factors of 35172

List of positive integer factors of 35172 that divides 35172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 977, 1954, 2931, 3908, 5862, 8793, 11724, 17586, 35172

Least Common Multiple of 35164 and 35172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35164 and 35172, than apply into the LCM equation.

GCF(35164,35172) = 4
LCM(35164,35172) = ( 35164 × 35172) / 4
LCM(35164,35172) = 1236788208 / 4
LCM(35164,35172) = 309197052

Properties of LCM 35164 and 35172

(i) The LCM of 35172 and 35164 is associative

LCM of 35164 and 35172 = LCM of 35172 and 35164

Related Least Common Multiples of 35164

Related Least Common Multiples of 35172

Frequently Asked Questions on LCM of 35164 and 35172

1. What is the LCM of 35164 and 35172?

Answer: LCM of 35164 and 35172 is 309197052.

2. What are the Factors of 35164?

Answer: Factors of 35164 are 1, 2, 4, 59, 118, 149, 236, 298, 596, 8791, 17582, 35164. There are 12 integers that are factors of 35164. The greatest factor of 35164 is 35164.

3. What are the Factors of 35172?

Answer: Factors of 35172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 977, 1954, 2931, 3908, 5862, 8793, 11724, 17586, 35172. There are 18 integers that are factors of 35172. The greatest factor of 35172 is 35172.

4. How to Find the LCM of 35164 and 35172?

Answer:

Least Common Multiple of 35164 and 35172 = 309197052

Step 1: Find the prime factorization of 35164

35164 = 2 x 2 x 59 x 149

Step 2: Find the prime factorization of 35172

35172 = 2 x 2 x 3 x 3 x 977

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 309197052 = 2 x 2 x 3 x 3 x 59 x 149 x 977

Step 4: Therefore, the least common multiple of 35164 and 35172 is 309197052.